Department of Mathematics and the College
Francesco Calegari’s research is focused on algebraic number theory and centers around mathematics relating to the Langlands program, a vast web of conjectures linking arithmetic, geometry, and analysis developed by Robert Langlands in the 1960s and 1970s, which is sometimes described as the equivalent in mathematics of the grand unification program of physics. He is especially interested in the notion of reciprocity linking Galois representations and motives to automorphic forms.
He has published extensively, and his research has appeared in the Journal of the American Mathematical Society, Inventiones Mathematicae, and Annals of Mathematics, among other publications. He is a recipient of fellowships from the American Institute of Mathematics and the Sloan Foundation, as well as a National Science Foundation Faculty Early Career Development (CAREER) grant. He is a fellow of the American Mathematical Society.
Calegari earned his BSc (Hons) in mathematics from the University of Melbourne and his PhD in mathematics from the University of California, Berkeley. Previously, he was a member of the faculties at Harvard and Northwestern Universities.